Question

Which graph represents the function f(x) = |x + 3|?

On a coordinate plane, an absolute value graph has a vertex at (0, 3).
On a coordinate plane, an absolute value graph has a vertex at (negative 3, 0).
On a coordinate plane, an absolute value graph has a vertex at (0, negative 3).
On a coordinate plane, an absolute value graph has a vertex at (3, 0).

Answer 1

The vertex is at (-3, 0).

Reason: |x + 3| = 0 when x = -3, and the absolute value is always ≥ 0, so the V-shaped graph is the graph of y = |x| shifted left 3 units, putting the vertex at (-3, 0).